We illustrate how to analyze complete generalizability theory (GT) designs using structural equation modeling software ("lavaan" in R), compare results to those obtained from numerous ANOVA-based packages, and apply those results in practical ways using data obtained from a large sample of respondents, who completed the Self-Perception…

In generalizability theory studies in large-scale testing contexts, sometimes a facet is very sparsely crossed with the object of measurement. For example, when assessments are scored by human raters, it may not be practical to have every rater score all students. Sometimes the scoring is systematically designed such that the raters are…

The Angoff method requires experts to view every item on the test and make a probability judgment. This can be time consuming when there are large numbers of items on the test. In this study, a G-theory framework was used to determine if a subset of items can be used to make generalizable cut-score recommendations. Angoff ratings (i.e.,…

Developing indicators that reflect important aspects of school and classroom environments has become central in a nationwide effort to develop comprehensive programs that measure teacher quality and effectiveness. Formulating teacher evaluation policy necessitates accurate and reliable methods for measuring these environmental variables. This…

Although federal regulations require testing students with severe cognitive disabilities, there is little guidance regarding how technical quality should be established. It is known that challenges exist with documentation of the reliability of scores for alternate assessments. Typical measures of reliability do little in modeling multiple sources…

Broadly conceived, reliability involves quantifying the consistencies and inconsistencies in observed scores. Generalizability theory, or G theory, is particularly well suited to addressing such matters in that it enables an investigator to quantify and distinguish the sources of inconsistencies in observed scores that arise, or could arise, over…

We examined how rater language background affects the scoring of short-answer, open-ended test items in the assessment of English language learners (ELLs). Four native English and four native Spanish-speaking certified bilingual teachers scored 107 responses of fourth- and fifth-grade Spanish-speaking ELLs to mathematics items administered in…

This overview of the role of error and tolerance for error in measurement asserts that the generic precision associated with a measurement procedure is defined as the root mean square error, or standard error, in some relevant population. This view of precision is explored in several applications of measurement. (SLD)